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<a href="_project_budget_maintenance_strategy_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">//===========================================================================</span><span class="comment"></span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> *</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> *</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * \brief       Project budget maintenance strategy</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> *</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> * \par</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> * This is an budget strategy that simply project one of the</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> * budget vectors onto the others. To save time, the smallest</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> * vector (measured in 2-norm of the alpha-coefficients) will</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> * be selected for projection.</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> *</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> *</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> *</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> *</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * \author      Aydin Demircioglu</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * \date        2014</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> *</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> *</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> * \par Copyright 1995-2017 Shark Development Team</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> *</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * &lt;https://shark-ml.github.io/Shark/&gt;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> *</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="comment"> *</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="comment"> *</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="comment"> *</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="comment"> */</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="comment">//===========================================================================</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="preprocessor">#ifndef SHARK_MODELS_PROJECTBUDGETMAINTENANCESTRATEGY_H</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="preprocessor">#define SHARK_MODELS_PROJECTBUDGETMAINTENANCESTRATEGY_H</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="preprocessor">#include &lt;<a class="code" href="_abstract_kernel_function_8h.html" title="abstract super class of all kernel functions">shark/Models/Kernels/AbstractKernelFunction.h</a>&gt;</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="preprocessor">#include &lt;shark/ObjectiveFunctions/KernelBasisDistance.h&gt;</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="preprocessor">#include &lt;<a class="code" href="_dataset_8h.html">shark/Data/Dataset.h</a>&gt;</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="preprocessor">#include &lt;<a class="code" href="_data_view_8h.html">shark/Data/DataView.h</a>&gt;</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a> {</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="comment"></span> </div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="comment">    ///</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="comment">    /// \brief Budget maintenance strategy that projects a vector</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="comment">    ///</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="comment">    /// This is an budget strategy that simply projects one of the</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="comment">    /// budget vectors onto the others. The resulting coefficients are</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="comment">    /// then added to the other vectors and the projected vector is</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="comment">    /// removed from the budget. </span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="comment">    /// </span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">class</span> InputType&gt;</div>
<div class="foldopen" id="foldopen00063" data-start="{" data-end="};">
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy.html">   63</a></span>    <span class="keyword">class </span><a class="code hl_class" href="classshark_1_1_project_budget_maintenance_strategy.html" title="Budget maintenance strategy that projects a vector.">ProjectBudgetMaintenanceStrategy</a>: <span class="keyword">public</span> <a class="code hl_class" href="classshark_1_1_abstract_budget_maintenance_strategy.html" title="This is the abstract interface for any budget maintenance strategy.">AbstractBudgetMaintenanceStrategy</a>&lt;InputType&gt; {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>            <span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">KernelExpansion&lt;InputType&gt;</a> <a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">ModelType</a>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>            <span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_labeled_data.html" title="Data set for supervised learning.">LabeledData&lt;InputType, unsigned int&gt;</a> <a class="code hl_class" href="classshark_1_1_labeled_data.html">DataType</a>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>            <span class="keyword">typedef</span> <span class="keyword">typename</span> DataType::element_type ElementType;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>        <span class="keyword">public</span>:</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span><span class="comment"></span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span><span class="comment">            /// constructor.</span></div>
<div class="foldopen" id="foldopen00071" data-start="{" data-end="}">
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy.html#aeb21c7cad1d543eb5e492b76db1dc659">   71</a></span><span class="comment"></span>            <a class="code hl_function" href="classshark_1_1_project_budget_maintenance_strategy.html#aeb21c7cad1d543eb5e492b76db1dc659" title="constructor.">ProjectBudgetMaintenanceStrategy</a>() {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>            }</div>
</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span> </div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="comment"></span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span><span class="comment">            /// add to model.</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="comment">            /// this is just a fake here, as it is unclear in general how to merge two objects,</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="comment">            /// one needs to specialize this template.</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span><span class="comment">            ///</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span><span class="comment">            /// @param[in,out]  model   the model the strategy will work with</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="comment">            /// @param[in]  alpha   alphas for the new budget vector </span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span><span class="comment">            /// @param[in]  supportVector the vector to add to the model by applying the maintenance strategy</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="comment">            ///            </span></div>
<div class="foldopen" id="foldopen00083" data-start="{" data-end="}">
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy.html#a2c1ffe6ed6921945f7e9b955baf1b0cf">   83</a></span><span class="comment"></span>            <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_project_budget_maintenance_strategy.html#a2c1ffe6ed6921945f7e9b955baf1b0cf">addToModel</a> (<a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">ModelType</a>&amp; model, <a class="code hl_typedef" href="_multi_task_svm_8cpp.html#a0dea9a3a85d327080d9b617903508925">InputType</a> <span class="keyword">const</span>&amp; alpha, ElementType <span class="keyword">const</span>&amp; supportVector) {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>                <span class="comment">// to project we simply utilize the kernel basis distance</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>            }</div>
</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="comment"></span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="comment">            /// class name</span></div>
<div class="foldopen" id="foldopen00089" data-start="{" data-end="}">
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy.html#a4ad4af7c05df1da75fc1ed537ef74de9">   89</a></span><span class="comment"></span>            std::string <a class="code hl_function" href="classshark_1_1_project_budget_maintenance_strategy.html#a4ad4af7c05df1da75fc1ed537ef74de9" title="class name">name</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="keyword">            </span>{ <span class="keywordflow">return</span> <span class="stringliteral">&quot;ProjectBudgetMaintenanceStrategy&quot;</span>; }</div>
</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>        <span class="keyword">protected</span>:</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span> </div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>    };</div>
</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span><span class="comment"></span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span><span class="comment">    ///</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span><span class="comment">    /// \brief Budget maintenance strategy that projects a vector</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span><span class="comment">    ///</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span><span class="comment">    /// \par This is an specialization of the project budget maintenance strategy </span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span><span class="comment">    /// that handles simple real-valued vectors. This is a nearly 1:1 adoption of</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span><span class="comment">    /// the strategy presented in Wang, Cramer and Vucetic.</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span><span class="comment">    /// </span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span><span class="comment"></span>    <span class="keyword">template</span>&lt;&gt;</div>
<div class="foldopen" id="foldopen00104" data-start="{" data-end="};">
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html">  104</a></span>    <span class="keyword">class </span><a class="code hl_class" href="classshark_1_1_project_budget_maintenance_strategy.html" title="Budget maintenance strategy that projects a vector.">ProjectBudgetMaintenanceStrategy</a>&lt;RealVector&gt;: <span class="keyword">public</span> <a class="code hl_class" href="classshark_1_1_abstract_budget_maintenance_strategy.html" title="This is the abstract interface for any budget maintenance strategy.">AbstractBudgetMaintenanceStrategy</a>&lt;RealVector&gt; {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>            <span class="keyword">typedef</span> RealVector <a class="code hl_typedef" href="_multi_task_svm_8cpp.html#a0dea9a3a85d327080d9b617903508925">InputType</a>;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>            <span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">KernelExpansion&lt;InputType&gt;</a> <a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">ModelType</a>;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>            <span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_labeled_data.html" title="Data set for supervised learning.">LabeledData&lt;InputType, unsigned int&gt;</a> <a class="code hl_class" href="classshark_1_1_labeled_data.html">DataType</a>;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>            <span class="keyword">typedef</span> <span class="keyword">typename</span> DataType::element_type ElementType;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>        <span class="keyword">public</span>:</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span><span class="comment"></span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span><span class="comment">            /// constructor.</span></div>
<div class="foldopen" id="foldopen00113" data-start="{" data-end="}">
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html#a53e3bfad62d2c2e4d74ccfccfb9faae2">  113</a></span><span class="comment"></span>            <a class="code hl_function" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html#a53e3bfad62d2c2e4d74ccfccfb9faae2" title="constructor.">ProjectBudgetMaintenanceStrategy</a>() {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>            }</div>
</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>                <span class="comment"></span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span><span class="comment">            /// add a vector to the model.</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span><span class="comment">            /// this will add the given vector to the model and merge the budget so that afterwards</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span><span class="comment">            /// the budget size is kept the same. If the budget has a free entry anyway, no merging</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span><span class="comment">            /// will be performed, but instead the given vector is simply added to the budget.</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="comment">            ///</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="comment">            /// @param[in,out]  model   the model the strategy will work with</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="comment">            /// @param[in]  alpha   alphas for the new budget vector </span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span><span class="comment">            /// @param[in]  supportVector the vector to add to the model by applying the maintenance strategy</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span><span class="comment">            ///</span></div>
<div class="foldopen" id="foldopen00127" data-start="{" data-end="}">
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html#a716c4803d4a64e0e30ef4d57032ed5d9">  127</a></span><span class="comment"></span>            <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html#a716c4803d4a64e0e30ef4d57032ed5d9">addToModel</a> (<a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">ModelType</a>&amp; model, InputType <span class="keyword">const</span>&amp; alpha, ElementType <span class="keyword">const</span>&amp; supportVector) {</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>                <span class="comment">// projecting should try out every budget vector</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>                <span class="comment">// but as this would yield $O(B^3)$ runtime, the vector</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>                <span class="comment">// with the smallest alpha is taken instead.</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span> </div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>                <span class="comment">// first put the new vector into place</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>                <span class="keywordtype">size_t</span> maxIndex = model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga814e8b0028cc90dd2af69805e8f8a04d" title="Returns the total number of elements.">numberOfElements</a>();</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>                model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga0ea72a74a21d5ff59772516b83c4a58b">element</a>(maxIndex - 1) = supportVector.input;</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>                row (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), maxIndex - 1) = alpha;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>                </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>                </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>                <span class="keywordtype">size_t</span> firstIndex = 0;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>                <span class="keywordtype">double</span> firstAlpha = 0;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>                <a class="code hl_function" href="classshark_1_1_abstract_budget_maintenance_strategy.html#ab6ab9d070c0988b041e96e66888a1841">findSmallestVector</a> (model, firstIndex, firstAlpha);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>                </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>                <span class="comment">// if the smallest vector has zero alpha, </span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>                <span class="comment">// the budget is not yet filled so we can skip projecting.</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>                <span class="keywordflow">if</span> (firstAlpha == 0.0f)</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>                {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>                    <span class="comment">// as we need the last vector to be zero, we put the new</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>                    <span class="comment">// vector to that place and undo our putting-the-vector-to-back-position</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>                    model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga0ea72a74a21d5ff59772516b83c4a58b">element</a>(firstIndex) = supportVector.input;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>                    row (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), firstIndex) = alpha;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span> </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>                    <span class="comment">// enough to zero out the alpha</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>                    row (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), maxIndex - 1).clear();</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>                    </div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>                    <span class="comment">// ready.</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>                    <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>                }</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>                </div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>                <span class="comment">// now solve the projection equation</span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>                </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>                <span class="comment">// we need to project the one vector we have chosen down</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>                <span class="comment">// to all others. so we need a model with just thet one vector</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>                <span class="comment">// and then we try to approximate alphas from the rest of thet</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>                <span class="comment">// vectors, such that the difference is small as possible.</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>                </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>                <span class="comment">// create a KernelExpansion just with the one selected vector.</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>                std::vector&lt;RealVector&gt; singlePointVector (1,model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga0ea72a74a21d5ff59772516b83c4a58b">element</a>(firstIndex));</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>                std::vector&lt;unsigned int&gt; singlePointLabel (1, 0);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>                <a class="code hl_class" href="classshark_1_1_labeled_data.html">ClassificationDataset</a> singlePointData = <a class="code hl_function" href="group__shark__globals.html#ga409b50a287df842bd49e7434a8bbf69e" title="creates a labeled data object from two ranges, representing inputs and labels">createLabeledDataFromRange</a>(singlePointVector, singlePointLabel);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>                <a class="code hl_class" href="classshark_1_1_kernel_expansion.html" title="Linear model in a kernel feature space.">KernelExpansion&lt;RealVector&gt;</a> singlePointExpansion(model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#aa7f672e5b1a367ce00545f550596bb0c">kernel</a>(), singlePointData.<a class="code hl_function" href="group__shark__globals.html#ga6f74e657c7e0c8a32b2456fb328bd653" title="Access to inputs as a separate container.">inputs</a>(), <span class="keyword">false</span>, model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>().size2());</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>                row (singlePointExpansion.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), 0) = row (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), firstIndex);</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>                KernelBasisDistance distance(&amp;singlePointExpansion, maxIndex - 1);</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>                <span class="comment">// now create a whole new &#39;point&#39; with all the other vectors. </span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>                <span class="comment">// then our approximation will give us one coefficient to approximate</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>                <span class="comment">// the basis, which consits only of the one selected vector.</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>                <span class="comment">// thus, we approximate the one vector with the rest of them.</span></div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>                <span class="keywordtype">size_t</span> <a class="code hl_function" href="group__shark__globals.html#gae537f0e90beb970397cd7bb9250984e2" title="Return the input dimensionality of a labeled dataset.">inputDimension</a> = model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga0ea72a74a21d5ff59772516b83c4a58b">element</a>(0).size();</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>                RealVector point(<a class="code hl_function" href="group__shark__globals.html#gae537f0e90beb970397cd7bb9250984e2" title="Return the input dimensionality of a labeled dataset.">inputDimension</a> * (maxIndex - 1));</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span> </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>                <span class="comment">// copy all other budget vectors into one big vector</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>                <span class="keywordtype">size_t</span> linearIndex = 0;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>                <span class="keywordflow">for</span>(std::size_t t = 0; t &lt; maxIndex; t++){</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>                    <span class="comment">// do not copy the first index.</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>                    <span class="keywordflow">if</span> (t == firstIndex)</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>                        <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>                    noalias(subrange(point, linearIndex*<a class="code hl_function" href="group__shark__globals.html#gae537f0e90beb970397cd7bb9250984e2" title="Return the input dimensionality of a labeled dataset.">inputDimension</a>, (linearIndex+1)*<a class="code hl_function" href="group__shark__globals.html#gae537f0e90beb970397cd7bb9250984e2" title="Return the input dimensionality of a labeled dataset.">inputDimension</a>)) = (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga0ea72a74a21d5ff59772516b83c4a58b">element</a>(t));</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>                    linearIndex++;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>                }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>                </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>                <span class="comment">//calculate solution found by the function and check that it is close</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>                RealMatrix projectedAlphas = distance.findOptimalBeta(point);</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span> </div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>                <span class="comment">// stupid sanity check</span></div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>                <a class="code hl_define" href="_exception_8h.html#a73abb5049a0168d72a48e72dda41708b">SHARK_ASSERT</a> (projectedAlphas.size2() == model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>().size2());</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>                </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>                <span class="comment">// add the projected values to the budget</span></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>                linearIndex = 0;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>                <span class="keywordflow">for</span> (std::size_t j = 0; j &lt; maxIndex; j++)</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>                {</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>                    <span class="keywordflow">if</span> (j == firstIndex)</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>                        <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>            </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>                    <span class="comment">// for each class we add the alpha contribution to the true alphas.</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>                    <span class="keywordflow">for</span> (std::size_t c = 0; c &lt; model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>().size2(); c++) </div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>                        model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(j, c) += projectedAlphas(linearIndex, c);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>                    </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>                    linearIndex++;</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>                }</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>                </div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>                <span class="comment">// overwrite the projected vector with the last vector</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>                model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a48c4d31664d347f477cfb305a7b98d61">basis</a>().<a class="code hl_function" href="group__shark__globals.html#ga0ea72a74a21d5ff59772516b83c4a58b">element</a>(firstIndex) = supportVector.input;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>                row (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), firstIndex) = alpha;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span> </div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>                <span class="comment">// zero out buffer, enough to zero out the alpha</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>                row (model.<a class="code hl_function" href="classshark_1_1_kernel_expansion.html#a3c65dfd17f38eaa461f6400d302fae48">alpha</a>(), maxIndex - 1).clear();</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>            }</div>
</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span> </div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span><span class="comment"></span> </div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span><span class="comment">            /// class name</span></div>
<div class="foldopen" id="foldopen00221" data-start="{" data-end="}">
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"><a class="line" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html#aab3b1e4a1bd156bbb425963c174efaec">  221</a></span><span class="comment"></span>            std::string <a class="code hl_function" href="classshark_1_1_project_budget_maintenance_strategy_3_01_real_vector_01_4.html#aab3b1e4a1bd156bbb425963c174efaec" title="class name">name</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span><span class="keyword">            </span>{ <span class="keywordflow">return</span> <span class="stringliteral">&quot;ProjectBudgetMaintenanceStrategy&quot;</span>; }</div>
</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span> </div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>        <span class="keyword">protected</span>:</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span> </div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>    };</div>
</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span> </div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>}</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span><span class="preprocessor">#endif</span></div>
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